---
title: Practice Test Answers
tags: Practice, Test, Numeracy
description: Answers and highlight for practice test
type: pdf
slideOptions:
theme: white

---

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### **Part A Number in Math**

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1). $\frac{1}{3}, \frac{3}{8}, \frac{2}{5}, \frac{3}{4}$

<div class="alert alert-info">for different denominators, we need to transfer them into same denominators than make comparison</div>

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2). 14.87 | 20.02 | 0.20

<div class="alert alert-info">Don't forget the rule of rounding, {5,6,7,8,9}, add 1 to preceding digit</div>

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3). Yes, as it has only two factors, 1 and 67

<div class="alert alert-info">Primes are numbers that have only two factors</div>

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4). LCM = 42 and HCF = 2

<div class="alert alert-info">You can get the HCF firstly, then use the formula in your notebook</div>

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5). 30
<div class="alert alert-info">Use calculator</div>

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6). $\frac{21}{40}$

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7). 150:60
<div class="alert alert-info">Making sure you konw how to get this!</div>

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8). $(1-\frac{2}{5})\times (1-\frac{2}{3}) = \frac{3}{5} \times \frac{1}{3} = \frac{1}{5}$

<div class="alert alert-info">The first bracket represent the part Sunny left, the second bracket represent her daughter left of what was left by Sunny.
You might use an alternative approach:
1. Sunny ate 2/5 of whole, so 3/5 of the whole left; 2. Her daughter ate 2/3 of 3/5, so left 1/3 of 3/5, which is 1/5 </div>

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9). $200 \div 22.7 = 8.81 \approx 9\ hours$

<div class="alert alert-info">Don't forget to round to the nearest **hours**</div>

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10). $12 \div \frac{3}{8} = 12 \times \frac{8}{3} = 32\ birds$
$32\times (1 - \frac{1}{2}-\frac{3}{8}) = 32\times \frac{1}{8} = 4\ swans$

<div class="alert alert-info">1. We need to know number of birds firstly, we know there are 12 geese, and they are 3/8 of birds, so total number of birds should be 32 above; 2. The **rest** means deduct from 1/2 of ducks and 3/8 of geese, so 1/8 of birds are swans</div>

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### **Part B Numeracy**

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#### Question One: Sharing Lollies

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a). $1$

<div class="alert alert-info"> Making sure you know how to split money in ratios!</div>

b). B -- 9 lollies
<div class="alert alert-info">apply ratio on 15 </div>

c). $22 - (-18) = 22 + 18 = 40^{o}C$
<div class="alert alert-info">Or, you can think of this way: from 22 to 0, the difference is 22, from 0 to -18, the difference is 18, so the total difference is 22 + 18 = 40 </div>

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#### Question Two: Going to school

a). $\frac{6}{22} = \frac{3}{11}$

<div class="alert alert-info">Make sure you know how to get the "total" number of students. </div>

b). $\frac{2}{22} = \frac{1}{11}$

<div class="alert alert-info">Simply, half of 4 is 2. </div>

c). No, more students walk home.

<div class="alert alert-info">Clearly from the chart that more students walk home.</div>

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#### Question Three: Hard work and Nintendos

a). C. $349.99\div 27 =12.96 \approx 13$ hours

<div class="alert alert-info">This should be easy to you.</div>

b). $27 \times \frac{3}{4} = 20.25$ Dollars
<div class="alert alert-info">This should be easy to you.</div>

c).
1. $20.25 \times 4 = 81$ dollars per day
2. $349.99 \div 81 = 4.32$ days $\approx 4$days

<div class="alert alert-info">Work out how much he makes per day, then use the total amount work out how many days he need.</div>

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#### Question Four: Noodle Takeaway

a). $14.5 \times 0.3 = 4.35$

b).
1. $23.7 \times 8 \times 2 = 379.2$
2. $379.2 \div 4.35 = 87.1 \approx 87$ bowls

<div class="alert alert-info">why times 2? </div>

c).
1. $150-87 = 63$
2. $63 \times 4.35 = 274.05$

<div class="alert alert-info">1. From the previous question, 87 bowls have to cover the cost of two employees, so only 63 bowls is his profit; 2. each bowl he earn 4.35 as profit from question a. </div>

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#### Question Five: Electric Bill

a).
1. for fixed cost, $0.6 \times 30 = 18$
2. then for dynamic cost, $116.67 - 18 = 98.67$
3. $98.67 \div 0.23 = 429$kw/h

b). C

<div class="alert alert-info">Remember the meaning of times a percentage? </div>

c).
1. for fixed cost, $0.75 \times 30 = 22.5$
2. then for dynamic cost, $116.67 - 22.5 = 94.17$
3. then calculate usage, $94.17 \div 0.21 = 448.4$kw/h